Universiti Teknologi Malaysia Institutional Repository

The implementation of hybrid resultant matrix formulation

Ahmad, Shamsatun Nahar and Aris, Nor'Aini (2015) The implementation of hybrid resultant matrix formulation. In: Aip Conference Proceedings the 22nd National Symposium on Mathematical Sciences Strengthening Research and Collaboration of Mathematical Sciences in Malaysia, 2015.

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Official URL: https://www.researchgate.net/publication/299855275...

Abstract

The resultant matrix constructed in this paper is based on the Sylvester-Bèzout formulation which gives a hybrid resultant matrix consisting of the Sylvester and Bèzout blocks. In this work, a new algorithm for the construction has been developed and implemented as a computer package written in C++. The empirical results of the implementation on certain systems of multivariate polynomials are observed and compared to its mixed volume of subdivision Minkowski sum for determining the existence of exact resultant. An application for abstracting the resultant from the determinant of the matrix and determining the solutions of the given system of equations is illustrated.

Item Type:Conference or Workshop Item (Paper)
Uncontrolled Keywords:algorithm, sylvester-bèzout
Subjects:T Technology > TK Electrical engineering. Electronics Nuclear engineering
Divisions:Science
ID Code:60799
Deposited By: Widya Wahid
Deposited On:01 Mar 2017 06:56
Last Modified:03 Aug 2017 00:46

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